MP2 9wks Practice

SAS stands for Side-Angle-Side, a rule that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: $$a^2 + b^2 = c^2$$ .

To find the height (b) of a right triangle, rearrange the Pythagorean Theorem: $$b = \text{sqrt}(c^2 - a^2)$$ , where c is the hypotenuse and a is the base.

$$\frac{4}{5}$$ represents the cosine of an angle in a right triangle, indicating the ratio of the adjacent side to the hypotenuse.

In a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse, while the cosine is the ratio of the adjacent side to the hypotenuse. They are related by the identity: $$\text{sin}^2(\theta) + \text{cos}^2(\theta) = 1$$ .

SSS stands for Side-Side-Side, a rule that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

ASA stands for Angle-Side-Angle, a rule that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

To find x, subtract 2 from both sides: $$x = 10 - 2 = 8$$ .

The area (A) of a triangle can be calculated using the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.